Statistics

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If the probability of a newborn child being female is 0.5, find the probability that in 100 births, 55 or more will be female. Use the normal distribution to approximate the binomial distribution.

  • Statistics -

    Mean = np

    Standard deviation = √npq
    Note: q = 1 - p

    n = 100
    p = 0.5
    q = 0.5

    Once you find the mean and standard deviation, use z-scores:
    z = (x - mean)/sd
    (x = 55)

    Check a z-table to find the probability using the z-score you calculated.

  • Statistics -

    54.5-50/50 = 4.5/5 = 0.9 z= 0.1841

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